Answer:
1/4,
Step-by-step explanation:
nothing can be further simplify in this problem
Census
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Question 1
Which type of study best describes the following research most likely to be done?
A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.
Simulation Study
Question 2
Which type of study best describes the following research most likely to be done?
A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.
Experimental Study
Question 3
Which type of study best describes the following research most likely to be done?
A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the power plant that had a catastrophic melt down in 2011.
Observational Study
Question 4
Which type of study best describes the following research most likely to be done?
A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.
Sampling
Question 5
Which type of study best describes the following research most likely to be done?
A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.
Census
Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
